Nonequilibrium thermodynamics of chemical reaction networks: Wisdom from stochastic thermodynamics

R Rao, M Esposito - Physical Review X, 2016 - APS
We build a rigorous nonequilibrium thermodynamic description for open chemical reaction
networks of elementary reactions. Their dynamics is described by deterministic rate …

Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks

L Desvillettes, K Fellner, BQ Tang - SIAM Journal on Mathematical Analysis, 2017 - SIAM
The quantitative convergence to equilibrium for reaction-diffusion systems arising from
complex balanced chemical reaction networks with mass action kinetics is studied using the …

Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction–diffusion systems

K Fellner, BQ Tang - Zeitschrift für angewandte Mathematik und Physik, 2018 - Springer
The convergence to equilibrium for renormalised solutions to nonlinear reaction–diffusion
systems is studied. The considered reaction–diffusion systems arise from chemical reaction …

The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks

K Fellner, W Prager, BQ Tang - arxiv preprint arxiv:1504.08221, 2015 - arxiv.org
In this paper, the applicability of the entropy method for the trend towards equilibrium for
reaction-diffusion systems arising from first order chemical reaction networks is studied. In …

Systematic measures of biological networks I: Invariant measures and entropy

Y Li, Y Yi - Communications on Pure and Applied Mathematics, 2016 - Wiley Online Library
This paper is part I of a two‐part series devoted to the study of systematic measures in a
complex biological network modeled by a system of ordinary differential equations. As the …

The evolution of complexity and the transition to biochemical life

P Gagrani, D Baum - arxiv preprint arxiv:2407.11728, 2024 - arxiv.org
While modern physics and biology satisfactorily explain the passage from the Big Bang to
the formation of Earth and the first cells to present-day life, respectively, the origins of …

On the large time behaviour for reaction-diffusion systems: convergence to equilibrium and random attractors/vorgelegt von Bao Tang, Quoc

QB Tang - unipub.uni-graz.at
Large time behaviour of reaction-diffusion systems is investigated in two aspects:
convergence to equilibrium and random attractors. In the first part, by exploiting the so-called …